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If a,b and c are the position vectors of...

If a,b and c are the position vectors of the vertices A,B and C of the `DeltaABC`, then the centroid of `DeltaABC` is

A

A. `(a+b+c)/(3)`

B

B. `(1)/(2)(a+(b+c)/(2))`

C

C. `a+(b+c)/(2)`

D

D. `(a+b+c)/(2)`

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ARIHANT MATHS-VECTOR ALGEBRA-Exercise (Single Option Correct Type Questions)
  1. The point having position vectors 2hati+3hatj+4hatk,3hati+4hatj+2hatk ...

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  2. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

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  3. If a,b and c are the position vectors of the vertices A,B and C of the...

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  4. If a and b are position vector of two points A,B and C divides AB in r...

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  5. Find the position vector of the point which divides the join of the po...

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  6. If O is origin and C is the mid - point of A (2, -1) and B ( -4, 3) . ...

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  7. If the position vectors of the points A and B are hati+3hatj-hatk and ...

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  8. The position vectors of A and B are hati-hatj+2hatk and 3hati-hatj+3ha...

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  9. If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...

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  10. If vec a , vec b are the position vectors of the points (1,-1),(-2,m)...

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  11. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

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  12. The vectors hati+2hatj+3hatk,lamdahati+4hatj+7hatk,-3hati-2hatj-5hatk ...

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  13. If the points a+b,a-b and a+kb be collinear, then k is equal to

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  14. If the position vectors off A,B,C and D are 2hati+hatj,hati-3hatj,3hat...

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  15. If the vectors 3hati+2hatj-hatk and 6hati-4xhatj+yhatk are parallel, t...

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  16. If a and b are two non collinear vectors; then every vector r coplanar...

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  17. Four non-zero vectors will always be

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  18. The vectors a,b and a+b are

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  19. Find the all the values of lamda such that (x,y,z)!=(0,0,0)and x(hati+...

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  20. The number of integral values of p for which (p+1) hati-3hatj+phatk, p...

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